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Finding the Fourth Proportional to 559.56, 837.39 and 442.98

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Solution

The fourth proportional to 559.56, 837.39 and 442.98 is: 662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.56 : 837.39 = 442.98 : x
  2. Step 2: Convert to fraction form
    559.56/837.39 = 442.98/x
  3. Step 3: Cross multiply
    559.56x = 837.39 × 442.98
  4. Step 4: Simplify right side
    559.56x = 370,947.02
  5. Step 5: Solve for x
    x = 370,947.02/559.56
  6. Step 6: Final answer
    x = 662.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.